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Supersymmetric KdV equation: Darboux transformation and discrete systems

Published 1 Nov 2013 in nlin.SI, math-ph, and math.MP | (1311.0152v1)

Abstract: For the supersymmetric KdV equation, a proper Darboux transformation is presented. This Darboux transformation leads to the B\"{a}cklund transformation found early by Liu and Xie \cite{liu2}. The Darboux transformation and the related B\"{a}cklund transformation are used to construct integrable super differential-difference and difference-difference systems. The continuum limits of these discrete systems and of their Lax pairs are also considered.

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Authors (3)

  1. Ling-Ling Xue 
  2. D. Levi 
  3. Q. P. Liu 

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